Finding the Third Proportional to 111,633 and 156,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,633 : 156,147.50 = 156,147.50 : x
2. Step 2: Convert to fraction form
   111,633/156,147.50 = 156,147.50/x
3. Step 3: Cross multiply
   111,633x = 156,147.50 × 156,147.50
4. Step 4: Simplify right side
   111,633x = 24,382,041,756.25
5. Step 5: Solve for x
   x = 24,382,041,756.25/111,633
6. Step 6: Final answer
   x = 218,412.49